Algebra

Two apples and three pears cost $3.45. Three apples and five pears cost $5.55. Find the cost of each type of fruit.

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asked by BrianP
  1. a = apples
    p = pears

    Two equations

    2a + 3p = 345
    3a + 5p = 555

    Elimination Method

    3(2a + 3p = 345)
    -2(3a + 5p = 555)

    6a + 9p = 1035
    -6a - 10p = -1110
    ________________________

    -p = -75
    p = 75

    2a + 3(75)= 345
    2a + 225 = 345
    2a = 345 - 225
    2a = 120
    2a/2 = 120/2
    a = 60

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    posted by Chelle

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